We are given that Lenora wants to build a bike ramp, and we're asked to find the length of the base of this ramp. Let l represents this length. We will focus on the side wall, which is a right triangle.
Since we are given that the angle of elevation is 20^(∘), we can use one of the trigonometric ratios to evaluate the value of l. Let's recall that the tangent of ∠A is the ratio of the leg opposite ∠A to the leg adjacent ∠A. Using this definition, we can create an equation for tan 20^(∘).
tan 20^(∘)=10/l
Let's solve the above equation.
